Hi Steph,
You are doing your friend a great service by helping her gain information to make the best decision for her. Copaxone has been a great medication for my husband, 7 years now hes been on it with almost no problems at all. Statistically it is very tolerable with few side effects and unlike the interferons theres not a problem with depression or flu like symptoms. The only problem my husband has ever had has been a post injection reaction which involved some flushing and chest tightness and that dissipates in about 15 minutes. He's only had that reaction maybe 3 times in 7 years though.
As Gretchen said, she's not going to know how she tolerates it until she tries it. However, the nice thing about the MS meds is that you can switch if there is a problem with effectiveness or tolerance. Typically, they like to keep a patient on a med for at least 9 months to a year to judge if its working or not and she might expect a repeat MRI at that time.
Let us know how things go for her, and if you have any more questions we'll be happy to assist.
Kimber